46980864216 has 768 divisors, whose sum is σ = 172057536000. Its totient is φ = 11675197440.

The previous prime is 46980864211. The next prime is 46980864221. The reversal of 46980864216 is 61246808964.

46980864216 is a `hidden beast` number, since 4 + 69 + 80 + 86 + 421 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (46980864211) and next prime (46980864221).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46980864211) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 169605870 + ... + 169606146.

It is an arithmetic number, because the mean of its divisors is an integer number (224033250).

Almost surely, 2^46980864216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46980864216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86028768000).

46980864216 is an abundant number, since it is smaller than the sum of its proper divisors (125076671784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46980864216 is a wasteful number, since it uses less digits than its factorization.

46980864216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 46980864216 in words is "forty-six billion, nine hundred eighty million, eight hundred sixty-four thousand, two hundred sixteen".